Classifies isomorphisms ∇^λ Sym^ℓ E ≅ ∇^μ Sym^m E for SL2(C) when partitions are conjugate or rectangular, gives complete results for two-row/column or hook shapes and partial when ℓ=m, and determines all irreducibility cases via skew partition results.
arXiv:1810.03448 (September 2018), 35 pages
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.RT 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Plethysms of symmetric functions and representations of $\mathrm{SL}_2(\mathbb{C})$
Classifies isomorphisms ∇^λ Sym^ℓ E ≅ ∇^μ Sym^m E for SL2(C) when partitions are conjugate or rectangular, gives complete results for two-row/column or hook shapes and partial when ℓ=m, and determines all irreducibility cases via skew partition results.